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A weather balloon is inflated to a volume of 26.8 LL at a pressure of 744 mmHgmmHg and a temperature of 31.2 ∘C∘C. The balloon rises in the atmosphere to an altitude where the pressure is 385 mmHgmmHg and the temperature is -14.8 ∘C∘C. Assuming the balloon can freely expand, calculate the volume of the balloon at this altitude.

Respuesta :

lublana

Answer:

43.96 L

Explanation:

We are given that

[tex]V_1=26.8 L[/tex]

[tex]P_1=744mm Hg[/tex]

[tex]T_1=31.2^{\circ} C=31.2+273=304.2K[/tex]

[tex]P_2=385mmHg[/tex]

[tex]T_2=-14.8^{\circ}=273-14.8=258.2K[/tex]

We know that

[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]

[tex]V_2=\frac{P_1V_1T_2}{P_2T_1}[/tex]

Substitute the values

[tex]V_2=\frac{744\times 26.8\times 258.2}{385\times 304.2}[/tex]

[tex]V_2=43.96 L[/tex]

Hence, the volume of balloon at -14.8 degree Celsius=43.96 L

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